12 citations · 29 across the 3 of their papers we have counts for
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math.RA1998
On the Splitting of the Dual Goldie Torsion Theory
Christian Lomp
The splitting of the Goldie (or singular) torsion theory has been extensively studied. Here we determine an appropriate dual Goldie torsion theory, discuss its splitting and answer…
math.RA1998
On Semilocal Modules and Rings
Christian Lomp
It is well-known that a ring R is semiperfect if and only if R as a left (or as a right) R-module is a supplemented module. Considering weak supplements instead of supplements we s…
math.RA1998
Modules Whose Small Submodules Have Krull Dimension
Christian Lomp
The main aim of this paper is to show that an AB5*-module whose small submodules have Krull dimension has a radical having Krull dimension. The proof uses the notion of dual Goldie…